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Finding the Fourth Proportional to 23,015.58, 34,490.97 and 13,159.50

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Solution

The fourth proportional to 23,015.58, 34,490.97 and 13,159.50 is: 19,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,015.58 : 34,490.97 = 13,159.50 : x
  2. Step 2: Convert to fraction form
    23,015.58/34,490.97 = 13,159.50/x
  3. Step 3: Cross multiply
    23,015.58x = 34,490.97 × 13,159.50
  4. Step 4: Simplify right side
    23,015.58x = 453,883,919.72
  5. Step 5: Solve for x
    x = 453,883,919.72/23,015.58
  6. Step 6: Final answer
    x = 19,720.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.